Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190d |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-11694059520000 = -1 · 215 · 3 · 54 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333,165037] |
[a1,a2,a3,a4,a6] |
j |
-17912342569/798720000 |
j-invariant |
L |
1.1880334690388 |
L(r)(E,1)/r! |
Ω |
0.59401673467074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bt1 |
Quadratic twists by: -11 |